Abstract and Applied Analysis
- Abstr. Appl. Anal.
- Volume 2014, Special Issue (2014), Article ID 636907, 5 pages.
A Kind of Unified Proper Efficiency in Vector Optimization
Based on the ideas of the classical Benson proper efficiency, a new kind of unified proper efficiency named S-Benson proper efficiency is introduced by using Assumption (B) proposed by Flores-Bazán and Hernández, which unifies some known exact and approximate proper efficiency including -proper efficiency and E-Benson proper efficiency in vector optimization. Furthermore, a characterization of S-Benson proper efficiency is established via a kind of nonlinear scalarization functions introduced by Göpfert et al.
Abstr. Appl. Anal., Volume 2014, Special Issue (2014), Article ID 636907, 5 pages.
First available in Project Euclid: 6 October 2014
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Zhao, Ke Quan; Xia, Yuan Mei. A Kind of Unified Proper Efficiency in Vector Optimization. Abstr. Appl. Anal. 2014, Special Issue (2014), Article ID 636907, 5 pages. doi:10.1155/2014/636907. https://projecteuclid.org/euclid.aaa/1412606032